IMO Mathematics Olympiad Class 10: Questions 86  91 of 958
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Question number: 86
Question
If are the roots of then is ________
Choices
Choice (4)  Response  

a.  10 

b.  5 

c.  15 

d.  20 

Question number: 87
» Pair of Linear Equations in Two Variables
Question
The ratio between a two – digit number and the sum of digits of that number is . If the digit in the unit place is 3 more than the digit in the tenth place, what is the number?
Choices
Choice (4)  Response  

a.  40 

b.  24 

c.  63 

d.  36 

Question number: 88
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations has no solution, is ________
Choices
Choice (4)  Response  

a.  3 

b.  1 

c.  10 

d.  6 

Question number: 89
Question
If one zero of the polynomial is a reciprocal of the other, then k is equal to ________
Choices
Choice (4)  Response  

a.  2 

b.  9 

c.  7 

d.  5 

Question number: 90
» Pair of Linear Equations in Two Variables
Question
The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes. Then the original number was ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 91
Question
If are the roots of the equation, then the equation whose roots are and is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

